Answer:
36000pi
Step-by-step explanation:
V = 4/3*pi*r^3 so we need to know r
we know surface area, which is 4pi*r^2=3600pi. so we can solve for r
r=30
so v = 4/3*pi*30^3 = 36000pi
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
450cm²
Step-by-step explanation:
The area of the kite is made up of two pairs of congruent triangles. Find the area of these and add to get the kite's area. (area of triangle = (1/2)(base)height))
2(0.5*15*20)+2(0.5*15*10)
300+150
450
Calories used = Activity level*Weight*Duration
Activity level at 8 min/mile = 0.22 calories per minute
Weight = 180/2.2 = 81.81 kg
Duration = 8 minutes
Substituting;
Calories used = 0.22*81.81*8 = 144 calories
Twelve cookies are chocolate chip
